100110221000100 has 54 divisors (see below), whose sum is σ = 313789926048690. Its totient is φ = 26696058933120.

The previous prime is 100110221000081. The next prime is 100110221000137. The reversal of 100110221000100 is 1000122011001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30590545080384 + 69519675919716 = 5530872^2 + 8337846^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55616788545 + ... + 55616790344.

Almost surely, 2^{100110221000100} is an apocalyptic number.

100110221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110221000100 is an abundant number, since it is smaller than the sum of its proper divisors (213679705048590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110221000100 is a wasteful number, since it uses less digits than its factorization.

100110221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233578909 (or 111233578899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110221000100 its reverse (1000122011001), we get a palindrome (101110343011101).

The spelling of 100110221000100 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, one hundred", and thus it is an aban number.